Wang, Jinrong; Fečkan, Michal Ulam-Hyers-Rassias stability for semilinear equations. (English) Zbl 1326.39025 Discontin. Nonlinearity Complex. 3, No. 4, 379-388 (2014). This paper is devoted to study of the Hyers-Ulam-Rassias stability of surjective linear equations on Banach spaces, linear equations on Banach spaces with closed ranges and surjective semilinear equations between Banach spaces. The interested reader is referred to G. Hirasawa and T. Miura [Bull. Korean Math. Soc. 43, No. 1, 107–117 (2006; Zbl 1110.47017)] and J. Brzdęk et al. [Banach J. Math. Anal. 9, No. 3, 278–326 (2015; Zbl 1312.39031)] for more related results. Reviewer: Mohammad Sal Moslehian (Karlstad) Cited in 3 Documents MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges Keywords:Ulam-Hyers-Rassias stability; global surjectivity; open mapping theorem; semilinear equation; Banach space Citations:Zbl 1110.47017; Zbl 1312.39031 PDFBibTeX XMLCite \textit{J. Wang} and \textit{M. Fečkan}, Discontin. Nonlinearity Complex. 3, No. 4, 379--388 (2014; Zbl 1326.39025) Full Text: DOI